# Image Convolution

Image Convolution
Field: Other
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Image Convolution

Image Convolution is the process of applying a filter to images

# Basic Description

Images can be convolved by applying a function to each pixel of the image. Usually, this function is precalculated inside a small two dimensional array called a kernel.

# A More Mathematical Explanation

Most generally, the convolution of two functions f and g is defined as the following: '"`UNIQ--math- [...]

Most generally, the convolution of two functions f and g is defined as the following: $(f * g)(x,y) = \sum_{v=-\infty}^{\infty} \sum_{u=-\infty}^{\infty} f(x,y) g(x - u,y - v)$ In this case $f(x,y)$ is a function that represents the image. In most cases, images are only defined over a set of points, $[0,width] \times [0,height]$